A New Interval Type-2 Fuzzy VIKOR Method for Multi-attribute Decision Making

  • Huidong WangEmail author
  • Xiaohong Pan
  • Shifan He


A new signed area method combined with VIKOR (Vlsekriterijumska Optimizacija I Kompromisno Resenje) is proposed for multi-attribute decision-making problems under the environment of interval type-2 fuzzy sets. First, a new signed area function of interval type-2 fuzzy sets is defined and the ranking score method based on the signed area function is proposed, subsequently. Then, we convert the matrix of interval type-2 fuzzy numbers to ranking score values matrix and some theorems of the ranking score method are presented and proved. Furthermore, the decision-making steps combined with VIKOR are given in detail and the comparative analysis with the signed distance method is conducted to show the advantages of our method. Finally, we perform a sensitivity analysis to show the stability of the proposed approach and the effectiveness of our method is illustrated by comparing with other methods.


VIKOR method Ranking score method Signed area function Interval type-2 fuzzy sets 



The authors would like to appreciate the editors and the anonymous reviewers for their insightful and constructive comments and suggestions that helped to improve the quality of this paper. This work was supported by NSFC Foundation under Grant No. 61402260.


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Copyright information

© Taiwan Fuzzy Systems Association and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Management Science and EngineeringShandong University of Finance and EconomicsJinanChina

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